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Finding the Fourth Proportional to 262,713.78, 394,033.68 and 85,222.32

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Solution

The fourth proportional to 262,713.78, 394,033.68 and 85,222.32 is: 127,821.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,713.78 : 394,033.68 = 85,222.32 : x
  2. Step 2: Convert to fraction form
    262,713.78/394,033.68 = 85,222.32/x
  3. Step 3: Cross multiply
    262,713.78x = 394,033.68 × 85,222.32
  4. Step 4: Simplify right side
    262,713.78x = 33,580,464,367.74
  5. Step 5: Solve for x
    x = 33,580,464,367.74/262,713.78
  6. Step 6: Final answer
    x = 127,821.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.